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Posted by on Sunday, May 22, 2011 at 4:27pm.

x + 9y=33
5x + 4y =1

  • Algebra - , Sunday, May 22, 2011 at 7:20pm

    Eq1: X + 9Y = 33.
    Eq2: 5x + 4y = 1.
    Multiply both sides of Eq1 by -5 and add the Eqs:

    Eq1: -5X - 45Y = -165.
    Eq2: 5X + 4Y = 1.
    Sum: 0 - 41Y = -164,
    Y = 4.
    In Eq1, substitute 4 for y:
    X + 9*4 = 33,
    X = 33 - 36 = -3.

    Solution set: (X,Y) = (-3,4).

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